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Finding the Third Proportional to 361,972.13 and 542,259

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Solution

The third proportional to 361,972.13 and 542,259 is: 812,341.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,972.13 : 542,259 = 542,259 : x
  2. Step 2: Convert to fraction form
    361,972.13/542,259 = 542,259/x
  3. Step 3: Cross multiply
    361,972.13x = 542,259 × 542,259
  4. Step 4: Simplify right side
    361,972.13x = 294,044,823,081
  5. Step 5: Solve for x
    x = 294,044,823,081/361,972.13
  6. Step 6: Final answer
    x = 812,341.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.